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Finding the Fourth Proportional to 486, 728.90 and 193.44

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Solution

The fourth proportional to 486, 728.90 and 193.44 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 728.90 = 193.44 : x
  2. Step 2: Convert to fraction form
    486/728.90 = 193.44/x
  3. Step 3: Cross multiply
    486x = 728.90 × 193.44
  4. Step 4: Simplify right side
    486x = 140,998.42
  5. Step 5: Solve for x
    x = 140,998.42/486
  6. Step 6: Final answer
    x = 290.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.